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Finding the Third Proportional to 67,470 and 100,838.25

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Solution

The third proportional to 67,470 and 100,838.25 is: 150,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,470 : 100,838.25 = 100,838.25 : x
  2. Step 2: Convert to fraction form
    67,470/100,838.25 = 100,838.25/x
  3. Step 3: Cross multiply
    67,470x = 100,838.25 × 100,838.25
  4. Step 4: Simplify right side
    67,470x = 10,168,352,663.06
  5. Step 5: Solve for x
    x = 10,168,352,663.06/67,470
  6. Step 6: Final answer
    x = 150,709.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.